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A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.
- a)92.5 cm3
- b)72 cm3
- c)63.5 cm3
- d)81 cm3
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A box opened at the top has its outer dimensions 10 cm × 9 cm &t...
Outer dimension s of the box are 10 cm, 9 cm and 2.5 cm.
Thickness of the box is 0.5 cm.
So, inner dimensions of the box is (10 - 2 x 0.5) cm,
(9 - 2 x 0.5) cm and (2.5 - 0.5) cm
i.e, 9 cm, 8 cm and 2 c
Volume of the metal = Volume of outer box - Volume of inner box
= 10 x 9 x 2.5 - 9 x 8 x 2 = 225 - 144 = 81 cm3
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Community Answer
A box opened at the top has its outer dimensions 10 cm × 9 cm &t...
Outer Dimensions of the Box
The box has outer dimensions of:
- Length: 10 cm
- Width: 9 cm
- Height: 2.5 cm
Thickness of the Box
The thickness of the box is:
- Thickness: 0.5 cm
Inner Dimensions of the Box
To find the inner dimensions, we subtract twice the thickness from each outer dimension:
- Inner Length = 10 cm - 2 * 0.5 cm = 9 cm
- Inner Width = 9 cm - 2 * 0.5 cm = 8 cm
- Inner Height = 2.5 cm - 0.5 cm = 2 cm
Calculate the Volume of the Outer Box
The volume of the outer box can be calculated using the formula:
- Volume (Outer) = Length × Width × Height
= 10 cm × 9 cm × 2.5 cm = 225 cm³
Calculate the Volume of the Inner Box
The volume of the inner box can be calculated as:
- Volume (Inner) = Inner Length × Inner Width × Inner Height
= 9 cm × 8 cm × 2 cm = 144 cm³
Calculate the Volume of the Metal
The volume of the metal used in the box is the difference between the outer and inner volumes:
- Volume (Metal) = Volume (Outer) - Volume (Inner)
= 225 cm³ - 144 cm³ = 81 cm³
Conclusion
Thus, the volume of the metal used in the box is:
- 81 cm³
The correct answer is option 'D'.
The box has outer dimensions of:
- Length: 10 cm
- Width: 9 cm
- Height: 2.5 cm
Thickness of the Box
The thickness of the box is:
- Thickness: 0.5 cm
Inner Dimensions of the Box
To find the inner dimensions, we subtract twice the thickness from each outer dimension:
- Inner Length = 10 cm - 2 * 0.5 cm = 9 cm
- Inner Width = 9 cm - 2 * 0.5 cm = 8 cm
- Inner Height = 2.5 cm - 0.5 cm = 2 cm
Calculate the Volume of the Outer Box
The volume of the outer box can be calculated using the formula:
- Volume (Outer) = Length × Width × Height
= 10 cm × 9 cm × 2.5 cm = 225 cm³
Calculate the Volume of the Inner Box
The volume of the inner box can be calculated as:
- Volume (Inner) = Inner Length × Inner Width × Inner Height
= 9 cm × 8 cm × 2 cm = 144 cm³
Calculate the Volume of the Metal
The volume of the metal used in the box is the difference between the outer and inner volumes:
- Volume (Metal) = Volume (Outer) - Volume (Inner)
= 225 cm³ - 144 cm³ = 81 cm³
Conclusion
Thus, the volume of the metal used in the box is:
- 81 cm³
The correct answer is option 'D'.
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A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.a)92.5 cm3b)72 cm3c)63.5 cm3d)81 cm3Correct answer is option 'D'. Can you explain this answer?
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A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.a)92.5 cm3b)72 cm3c)63.5 cm3d)81 cm3Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.a)92.5 cm3b)72 cm3c)63.5 cm3d)81 cm3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.a)92.5 cm3b)72 cm3c)63.5 cm3d)81 cm3Correct answer is option 'D'. Can you explain this answer?.
A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.a)92.5 cm3b)72 cm3c)63.5 cm3d)81 cm3Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.a)92.5 cm3b)72 cm3c)63.5 cm3d)81 cm3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.a)92.5 cm3b)72 cm3c)63.5 cm3d)81 cm3Correct answer is option 'D'. Can you explain this answer?.
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A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.a)92.5 cm3b)72 cm3c)63.5 cm3d)81 cm3Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.a)92.5 cm3b)72 cm3c)63.5 cm3d)81 cm3Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A box opened at the top has its outer dimensions 10 cm × 9 cm × 2.5 cm and its thickness is 0.5 cm, find the volume of the metal.a)92.5 cm3b)72 cm3c)63.5 cm3d)81 cm3Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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